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Finding the Fourth Proportional to 6,845.05, 9,446.04 and 3,860.89

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Solution

The fourth proportional to 6,845.05, 9,446.04 and 3,860.89 is: 5,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.05 : 9,446.04 = 3,860.89 : x
  2. Step 2: Convert to fraction form
    6,845.05/9,446.04 = 3,860.89/x
  3. Step 3: Cross multiply
    6,845.05x = 9,446.04 × 3,860.89
  4. Step 4: Simplify right side
    6,845.05x = 36,470,121.38
  5. Step 5: Solve for x
    x = 36,470,121.38/6,845.05
  6. Step 6: Final answer
    x = 5,327.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.